Details

Time bar (total: 6.9s)

sample110.0ms

Algorithm
intervals
Results
48.0ms558×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
0181529
1181529

prune20.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.6b

Counts
2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 18.0 (* y (* z t)))
0.3b
(* j (* 27.0 k))
3.8b
(* y (* z t))
5.5b
(* x (* 18.0 (* y (* z t))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
12×associate-*l*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*r* *-commutative add-log-exp
Counts
4 → 81
Calls
4 calls:
7.0ms
(* 18.0 (* y (* z t)))
4.0ms
(* j (* 27.0 k))
5.0ms
(* y (* z t))
9.0ms
(* x (* 18.0 (* y (* z t))))

series28.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* 18.0 (* y (* z t)))
4.0ms
(* j (* 27.0 k))
6.0ms
(* y (* z t))
11.0ms
(* x (* 18.0 (* y (* z t))))

simplify54.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05545670

prune143.0ms

Filtered
47 candidates to 93 candidates (-97.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New86793
Fresh011
Picked101
Done000
Total87895

Merged error: 0.6b

Counts
95 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b c) (+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i)))))
0.3b
(* j (* 27.0 k))
3.8b
(* (* 18.0 y) (* z t))
5.5b
(* x (* (* 18.0 y) (* z t)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
39×pow1 add-exp-log add-cbrt-cube
24×pow-prod-down prod-exp cbrt-unprod
9×add-log-exp
7×associate-*l*
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×associate-*r* *-commutative
2×diff-log
1×sub-neg flip3-- sum-log flip-- associate--r+
Counts
4 → 81
Calls
4 calls:
6.0ms
(- (* b c) (+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i)))))
5.0ms
(* j (* 27.0 k))
6.0ms
(* (* 18.0 y) (* z t))
9.0ms
(* x (* (* 18.0 y) (* z t)))

series147.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(- (* b c) (+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i)))))
4.0ms
(* j (* 27.0 k))
7.0ms
(* (* 18.0 y) (* z t))
12.0ms
(* x (* (* 18.0 y) (* z t)))

simplify36.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05220993

prune138.0ms

Filtered
49 candidates to 93 candidates (-89.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New91293
Fresh257
Picked101
Done000
Total947101

Merged error: 0.1b

Counts
101 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt j)
0.6b
(cbrt j)
3.8b
(* y (* z t))
5.5b
(* x (* 18.0 (* y (* z t))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod associate-*l*
4×add-log-exp
2×pow1/3 associate-*r* *-commutative
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt j)
1.0ms
(cbrt j)
5.0ms
(* y (* z t))
9.0ms
(* x (* 18.0 (* y (* z t))))

series63.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt j)
22.0ms
(cbrt j)
6.0ms
(* y (* z t))
13.0ms
(* x (* 18.0 (* y (* z t))))

simplify53.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04971470
14971470

prune111.0ms

Filtered
44 candidates to 76 candidates (-72.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh066
Picked011
Done000
Total76783

Merged error: 0.1b

Counts
83 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b c) (+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i)))))
0.3b
(* j (* 27.0 k))
3.8b
(* y (* z t))
6.1b
(* (* x 18.0) (* y (* z t)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
35×pow1 add-exp-log add-cbrt-cube
21×pow-prod-down prod-exp cbrt-unprod
9×add-log-exp
7×associate-*l*
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×associate-*r* *-commutative
2×diff-log
1×sub-neg flip3-- sum-log flip-- associate--r+
Counts
4 → 78
Calls
4 calls:
6.0ms
(- (* b c) (+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i)))))
4.0ms
(* j (* 27.0 k))
4.0ms
(* y (* z t))
10.0ms
(* (* x 18.0) (* y (* z t)))

series154.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(- (* b c) (+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i)))))
4.0ms
(* j (* 27.0 k))
6.0ms
(* y (* z t))
12.0ms
(* (* x 18.0) (* y (* z t)))

simplify30.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
04996931
14996931

prune74.0ms

Filtered
47 candidates to 90 candidates (-91.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh055
Picked011
Done011
Total89897

Merged error: 0.1b

Counts
97 → 8

regimes2.4s

Accuracy

61.8% (2.0b remaining)

Error of 2.1b against oracle of 0.1b and baseline of 5.4b

bsearch211.0ms

Steps
ItersRangePoint
8
2.6436687550099178e-12
1.2936368816686975e-08
9.172821657032618e-10
9
2.217104849349107e-133
1.979906799312461e-126
4.16706736102893e-133
9
8.046197216901148e-241
6.824599848441407e-236
1.8041530042857012e-237
6
-4.959088721673914e-47
-3.1594269589918206e-48
-4.0566430257111837e-47

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0100172
1100172

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.3s16219×body80valid

Profiling

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